1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alex41 [277]
2 years ago
9

Given the circle with the equation (x - 3)2 + y2 = 49, determine the location of each point with respect to the graph of the cir

cle. In your final answer, state whether each point is on the interior, exterior, or circumference of the circle. Include your calculations as proof of each point’s location.
A. (-1, 1)

B. (10, 0)

C. (4, -8)

Mathematics
2 answers:
blsea [12.9K]2 years ago
5 0
Hello :
 <span>an equation of the circle Center at the w(a,b) and ridus : r is :
(x-a)² +(y-b)² = r²  
In this exercice : (x-3)²+y²=7²   ....a =3 and b=0 ( the center is :w(3,0))  ...    r=7
The distance between each point in each case is calculated and compared with the length of the radius
 1 ) </span>A (-1, 1) :  Aw² = (-1-3)²+1² =17.....  Aw < r : <span>interior the circle
</span>  2 )  B(10, 0) :Bw² =(10-3)²+0² =49 ......r = Bw :<span>circumference of the circle
</span> 3 )  C(4, -8) :Cw² = (4-3)²+(-8)² =65..... Cw > r  : exterior  the circle
sammy [17]2 years ago
4 0

Answer:

The point (-1, 1) lies in interior of circle.

The point (10,0) lies on the circumference of circle.

The point (4,-8) lies on the exterior of circle.

Step-by-step explanation:

Given : The circle with the equation (x - 3)^2+y^2 =49

We have to  determine the location of each point with respect to the graph of the circle. also state whether each point is on the interior, exterior, or circumference of the circle.

<u>Interior point of a circle :</u>

A point is said to be interior when the distance of point from the center is less than the radius.

<u>Exterior point of a circle :</u>

A point is said to be exterior when the distance of point from the center is greater than the radius.

<u>Circumference of a circle :</u>

A point is said to be at circumference when the distance of point from the center is equal the radius.

For the point (-1, 1)

Put in the given equation of circle (x - 3)^2+y^2 =49

Consider LHS of equation

(x - 3)^2+y^2

put x = -1 and y = 1

(-1-3)^2+1^2=16+1 = 17

So, the point (-1, 1) lies in interior of circle.

For the point (10, 0)

Put in the given equation of circle (x - 3)^2+y^2 =49

Consider LHS of equation

(x - 3)^2+y^2

put x = 10 and y = 0

(10-3)^2+0^2=49=49

So, the point (10,0) lies on the circumference of circle.

For the point (4,-8)

Put in the given equation of circle (x - 3)^2+y^2 =49

Consider LHS of equation

(x - 3)^2+y^2

put x = 4 and y = -8

(4-3)^2+(-8)^2=1+64=65>49

So, the point (4,-8) lies on the exterior of circle.

   

You might be interested in
Plz help me with this
Sergio [31]

9514 1404 393

Answer:

  d)  -4 ≤ x ≤ 1.5

Step-by-step explanation:

The domain is the horizontal extent of the graph. Here, it goes from about x=-4 to about x = 1.5.

There are solid dots on both ends of the line segment, so the inequality will use ≤ for both limits. The domain is ...

  -4 ≤ x ≤ 1.5

6 0
2 years ago
Heeeeelllpppp<br> -6xy^5 - 15x^4 + 9x
schepotkina [342]

Answer:

-3x(2y^5+5x^3-3)

Step-by-step explanation:

-6xy^5 - 15x^4 + 9x

-6xy^5-15xx^3+9x

2*3xy^5+5+3xx^3z+3*3x

Factor:

-3x(2y^5+5x^3-3)

7 0
2 years ago
F(x)= 3x + 5
Valentin [98]

Step-by-step explanation:

(3x+5)-(4x²-2)-(x²-3x+1)

= 3x+5-4x²+2-x²+3x-1

=6x+6-5x²

=-5x²+6x+6

5 0
2 years ago
Hurry!! Answer it please:))
Ksivusya [100]

Answer:

Option C.

Domain:

{3, 0, 2, 4}

Step-by-step explanation:

The domain is the set of all the values of x.

5 0
2 years ago
Read 2 more answers
The equation a = StartFraction one-half EndFraction left-parenthesis b 1 plus b 1 right-parenthesis.(b1 + b2)h can be used to de
snow_lady [41]
The answer is a thank you
6 0
3 years ago
Read 2 more answers
Other questions:
  • Rounded to the nearest tenth
    11·2 answers
  • Which equation relates y to the x for the values in the table?
    13·2 answers
  • Write -4 1/8 as a decimal
    14·1 answer
  • The number of text messages sent by 25 13-year-olds over the past month are as follows
    15·1 answer
  • Select either relation (if the set is a relation but not a function), function (if the set is both a relation and a function), o
    13·2 answers
  • Which of the equations below could be the equation of this parabola?
    5·2 answers
  • Please help me vote you brainiest
    14·1 answer
  • What is this help please
    7·2 answers
  • Mary Alice is making a curtain for her kitchen window. She bought 2 1/12 yards of fabric. Her total cost was $16.
    6·2 answers
  • Brainliest if correct
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!